71131202304401 has 2 divisors, whose sum is σ = 71131202304402. Its totient is φ = 71131202304400.

The previous prime is 71131202304389. The next prime is 71131202304499. The reversal of 71131202304401 is 10440320213117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70178753180176 + 952449124225 = 8377276^2 + 975935^2 .

It is an emirp because it is prime and its reverse (10440320213117) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71131202304401 is a prime.

It is not a weakly prime, because it can be changed into another prime (71131202300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35565601152200 + 35565601152201.

It is an arithmetic number, because the mean of its divisors is an integer number (35565601152201).

Almost surely, 2^{71131202304401} is an apocalyptic number.

It is an amenable number.

71131202304401 is a deficient number, since it is larger than the sum of its proper divisors (1).

71131202304401 is an equidigital number, since it uses as much as digits as its factorization.

71131202304401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 71131202304401 its reverse (10440320213117), we get a palindrome (81571522517518).

The spelling of 71131202304401 in words is "seventy-one trillion, one hundred thirty-one billion, two hundred two million, three hundred four thousand, four hundred one".